Detecting quantum speedup in closed and open systems

Abstract

We construct a general measure for detecting the quantum speedup in both closed and open systems. The speed measure is based on the changing rate of the position of quantum states on a manifold with appropriate monotone Riemannian metrics. Any increase in speed is a clear signature of dynamical speedup. To clarify the mechanisms for quantum speedup, we first introduce the concept of longitudinal and transverse types of speedup: the former stems from the time evolution process itself with fixed initial conditions, while the latter is a result of adjusting initial conditions. We then apply the proposed measure to several typical closed and open quantum systems, illustrating that quantum coherence (or entanglement) and the memory effect of the environment together can become resources for longitudinally or transversely accelerating dynamical evolution under specific conditions and assumptions.

7 pages, 4 figures; Accepted for publication in New Journal of Physics

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Cited by in corpus (8)

• Enhancing the charging power of quantum batteries
• Quantum speed limit for a mixed initial state
• Controlling decoherence speed limit of a single impurity atom in a Bose-Einstein-condensate reservoir
• Quantum speed limit of a noisy continuous-variable system
• Quantum speed limits in arbitrary phase spaces
• Generalized speed and cost rate in transitionless quantum driving
• Quantum speed limit from a quantum-state-diffusion method
• Quantum dynamical speedup for correlated initial states